Question

Find the value of x to the nearest tenth

Answer 1

Answer:

x = 3√5

Step-by-step explanation:

we can use the Pythagorean Theorem twice, first to find the longer leg of the left triangle:

7² + b² = 10²

b² = 100-49

b² = 51

b = √51 which we can simplify to be √9·√3·√3 = 3·3 = 9

we can use the Pythagorean Theorem next to find 'x':

x² + 6² = 9²

x² + 36 = 81

x² = 45

x = √45 = √9·√5 or 3√5